{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 创建神经网络并训练  --- 线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets  import load_boston\n",
    "import random\n",
    "import networkx\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] =False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X shape:(506,)  Y shape:(506,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = load_boston()\n",
    "x, y = data['data'][:,5], data['target']\n",
    "print('X shape:{}  Y shape:{}'.format(x.shape, y.shape))\n",
    "\n",
    "plt.scatter(x, y)\n",
    "plt.title('数据分布')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 拟合函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fun(x, k, b):\n",
    "    return k*x + b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 损失函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_1(y, y_predict):\n",
    "    # 绝对值误差\n",
    "    return sum([abs(y_i-y_p_i) for y_i, y_p_i in zip(y, y_predict)] )/len(y)\n",
    "\n",
    "def loss_2(y, y_predict):\n",
    "    # 均方误差\n",
    "    return sum([(y_i-y_p_i)**2 for y_i, y_p_i in zip(y, y_predict)] )/len(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## 随机查找\n",
    "随机方式找出最优的 k, b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "Best Loss: 52572.385\n",
      "Best w   : 24.791\n",
      "Best b   : 95.658\n",
      "\n",
      "2\n",
      "Best Loss: 26601.002\n",
      "Best w   : 15.289\n",
      "Best b   : 89.351\n",
      "\n",
      "6\n",
      "Best Loss: 26202.340\n",
      "Best w   : 23.483\n",
      "Best b   : 36.370\n",
      "\n",
      "14\n",
      "Best Loss: 3710.904\n",
      "Best w   : 4.565\n",
      "Best b   : 54.316\n",
      "\n",
      "58\n",
      "Best Loss: 2218.360\n",
      "Best w   : 9.504\n",
      "Best b   : 9.435\n",
      "\n",
      "59\n",
      "Best Loss: 983.484\n",
      "Best w   : 7.548\n",
      "Best b   : 5.735\n",
      "\n",
      "78\n",
      "Best Loss: 143.389\n",
      "Best w   : 0.755\n",
      "Best b   : 9.697\n",
      "\n",
      "131\n",
      "Best Loss: 72.241\n",
      "Best w   : 1.597\n",
      "Best b   : 11.556\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1b781bcc898>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 1000\n",
    "\n",
    "best_loss = float('inf')\n",
    "best_w = None\n",
    "best_b = None\n",
    "\n",
    "for i in range(run_time):\n",
    "    w = random.random() * 100\n",
    "    b = random.random() * 100\n",
    "    \n",
    "    # 预测值\n",
    "    y_p = [fun(x_i, w, b) for x_i in x]\n",
    "    \n",
    "    # 损失值\n",
    "    loss = loss_2(y, y_p)\n",
    "    \n",
    "    if loss < best_loss:\n",
    "        best_loss = loss\n",
    "        best_w = w\n",
    "        best_b = b\n",
    "        \n",
    "        print(i)\n",
    "        print('Best Loss: {:.3f}'.format(best_loss))\n",
    "        print('Best w   : {:.3f}'.format(best_w))\n",
    "        print('Best b   : {:.3f}'.format(best_b))\n",
    "        print()\n",
    "        \n",
    "plt.scatter(x, y)\n",
    "plt.scatter(x, [fun(x_i, w, b) for x_i in x])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 模型训练 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 计算导数\n",
    "绝对值损失 导数\n",
    "$$ loss = \\frac{1}{n} \\sum_i^n abs(y_i - \\hat{y}) $$\n",
    "$$ loss = \\frac{1}{n} \\sum_i^n abs(y_i - (w*x_i + b)) $$\n",
    "\n",
    "均方差损失 导数\n",
    "$$ loss = \\frac{1}{n} \\sum_i^n (y_i - \\hat{y})^2 $$\n",
    "$$ loss = \\frac{1}{n} \\sum_i^n (y_i - (w*x_i + b))^2 $$\n",
    "$$ \\frac{\\partial{loss}}{\\partial{w}} = -\\frac{2}{n}\\sum(y_i - (wx_i + b))x_i$$\n",
    "$$ \\frac{\\partial{loss}}{\\partial{b}} = -\\frac{2}{n}\\sum(y_i - (wx_i + b))$$\n",
    "\n",
    "$$ \\frac{\\partial{loss}}{\\partial{w}} = -\\frac{2}{n}\\sum(y_i - \\hat{y}_i)x_i$$\n",
    "$$ \\frac{\\partial{loss}}{\\partial{b}} = -\\frac{2}{n}\\sum(y_i - \\hat{y}_i)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 绝对值偏差 偏导数\n",
    "def partial_1_k(x, y, y_p):\n",
    "    gradient = 0 \n",
    "    \n",
    "    for x_i, y_i, y_p_i in zip(list(x), list(y), list(y_p)):\n",
    "        if y_i > y_p_i:\n",
    "            gradient -= x_i\n",
    "        elif y_i < y_p_i: \n",
    "            gradient += x_i\n",
    "        else:\n",
    "            gradient += 0\n",
    "    \n",
    "    return gradient/len(x)\n",
    "        \n",
    "\n",
    "def partial_1_b(y, y_p):\n",
    "    gradient = 0 \n",
    "    \n",
    "    for y_i, y_p_i in zip(list(y), list(y_p)):\n",
    "        if y_i > y_p_i:\n",
    "            gradient -= 1\n",
    "        elif y_i < y_p_i: \n",
    "            gradient += 1\n",
    "        else:\n",
    "            gradient += 0\n",
    "    \n",
    "    return gradient/len(x)\n",
    "\n",
    "\n",
    "# 均方根误差 偏导数\n",
    "def partial_2_k(x, y, y_hat):\n",
    "    gradient = 0 \n",
    "    \n",
    "    for x_i, y_i, y_hat_i in zip(list(x), list(y), list(y_hat)):\n",
    "        gradient += (y_i - y_hat_i) * x_i\n",
    "    \n",
    "    return -2 / len(y) * gradient\n",
    "\n",
    "def partial_2_b(y, y_hat):\n",
    "    gradient = 0\n",
    "    \n",
    "    for y_i, y_hat_i in zip(list(y), list(y_hat)):\n",
    "        gradient += (y_i - y_hat_i)\n",
    "        \n",
    "    return -2 / len(y) * gradient\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loss: 343838.848\n",
      "Loss: 11349.179\n"
     ]
    }
   ],
   "source": [
    "# 随机初始值 \n",
    "random.seed(0)\n",
    "w = random.random() * 100\n",
    "b = random.random() * 100\n",
    "\n",
    "# 预测值\n",
    "y_p = [fun(x_i, w, b) for x_i in x]\n",
    "\n",
    "# 梯度导数\n",
    "w_gradient = partial_2_k(x, y, y_p) # 变化的方向\n",
    "b_gradient = partial_2_b(y, y_p)\n",
    "\n",
    "# 负梯度方向 数值更新  \n",
    "learning_rate = 0.01\n",
    "w = w + (-1 * w_gradient) * learning_rate\n",
    "b = b + (-1 * b_gradient) * learning_rate\n",
    "    \n",
    "# 新预测值\n",
    "y_p_new = [fun(x_i, w, b) for x_i in x]\n",
    "    \n",
    "# 损失值\n",
    "print('Loss: {:.3f}'.format(loss_2(y, y_p)))\n",
    "print('Loss: {:.3f}'.format(loss_2(y, y_p_new)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 均方差损失函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Learing_rate:0.01\n",
      "19999  Loss: 43.604      \n",
      "Learing_rate:0.005\n",
      "19999  Loss: 44.068      \n",
      "Learing_rate:0.001\n",
      "19999  Loss: 65.534      "
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 20000\n",
    "  \n",
    "# 学习率  0.1 学习率设置过大时，LOSS值会越来越大，直到溢出，为啥？ 实际模型训练中如何避免？\n",
    "learning_rate_list = [0.01, 0.005, 0.001]\n",
    "\n",
    "fig, axs = plt.subplots(len(learning_rate_list), 4, figsize=(20,len(learning_rate_list)*5))   \n",
    "for t_i, learning_rate in enumerate(learning_rate_list):\n",
    "    \n",
    "    print('\\nLearing_rate:{}'.format(learning_rate))\n",
    "    \n",
    "    # 随机初始值 \n",
    "    random.seed(0)\n",
    "    k = random.random() * 100 - 200\n",
    "    b = random.random() * 100 - 200\n",
    "\n",
    "    loss_list = list()\n",
    "    k_list = list()\n",
    "    b_list = list()\n",
    "    \n",
    "    for i in range(run_time):\n",
    "        k_list.append(k)\n",
    "        b_list.append(b)\n",
    "        \n",
    "        # 预测值\n",
    "        y_p = [fun(x_i, k, b) for x_i in x]\n",
    "\n",
    "        # 梯度导数\n",
    "        k_gradient = partial_2_k(x, y, y_p) # 变化的方向\n",
    "        b_gradient = partial_2_b(y, y_p)\n",
    "        \n",
    "#         print('\\nLearningRate:{:.3f}  w:{:.3f} b:{:.3f}'.format(learning_rate_l[i], w_gradient, b_gradient))\n",
    "        \n",
    "        # 负梯度方向 数值更新\n",
    "        k = k + (-1 * k_gradient) * learning_rate\n",
    "        b = b + (-1 * b_gradient) * learning_rate\n",
    "\n",
    "        # 损失值\n",
    "        print('\\r{:<5d}  Loss: {:.3f}   '.format(i, loss_2(y, y_p)), end='   ')\n",
    "        loss_list.append(loss_2(y, y_p))\n",
    "    \n",
    "    axs[t_i,0].scatter(x, y)\n",
    "    axs[t_i,0].scatter(x, [fun(x_i, w, b) for x_i in x])\n",
    "    axs[t_i,0].set_title('Data & Predict   LearningRate:{:.3f}'.format(learning_rate))\n",
    "    \n",
    "    axs[t_i,1].plot(loss_list)\n",
    "    axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,1].set_title('Loss: {:.3f}'.format(loss_list[-1]))\n",
    "    \n",
    "    axs[t_i,2].plot(k_list)\n",
    "#     axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,2].set_title('k : {:.3f}'.format(k_list[-1]))\n",
    "    \n",
    "    axs[t_i,3].plot(b_list)\n",
    "#     axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,3].set_title('b: {:.3f}'.format(b_list[-1]))\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 绝对值损失"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Learing_rate:1\n",
      "19999  Loss: 15.883      \n",
      "Learing_rate:0.1\n",
      "19999  Loss: 4.446      \n",
      "Learing_rate:0.01\n",
      "19999  Loss: 6.260      "
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 20000\n",
    "  \n",
    "# 学习率  0.1 学习率设置过大时，LOSS值会越来越大，直到溢出，为啥？ 实际模型训练中如何避免？\n",
    "learning_rate_list = [1, 0.1, 0.01]\n",
    "\n",
    "fig, axs = plt.subplots(len(learning_rate_list), 4, figsize=(20,len(learning_rate_list)*5))   \n",
    "for t_i, learning_rate in enumerate(learning_rate_list):\n",
    "    \n",
    "    print('\\nLearing_rate:{}'.format(learning_rate))\n",
    "    \n",
    "    # 随机初始值 \n",
    "    random.seed(0)\n",
    "    k = random.random() * 100 - 200\n",
    "    b = random.random() * 100 - 200\n",
    "\n",
    "    loss_list = list()\n",
    "    k_list = list()\n",
    "    b_list = list()\n",
    "    \n",
    "    for i in range(run_time):\n",
    "        k_list.append(k)\n",
    "        b_list.append(b)\n",
    "        \n",
    "        # 预测值\n",
    "        y_p = [fun(x_i, k, b) for x_i in x]\n",
    "\n",
    "        # 梯度导数\n",
    "        k_gradient = partial_1_k(x, y, y_p) # 变化的方向\n",
    "        b_gradient = partial_1_b(y, y_p)\n",
    "        \n",
    "#         print('\\nLearningRate:{:.3f}  w:{:.3f} b:{:.3f}'.format(learning_rate_l[i], w_gradient, b_gradient))\n",
    "        \n",
    "        # 负梯度方向 数值更新\n",
    "        k = k + (-1 * k_gradient) * learning_rate\n",
    "        b = b + (-1 * b_gradient) * learning_rate\n",
    "\n",
    "        # 损失值\n",
    "        print('\\r{:<5d}  Loss: {:.3f}   '.format(i, loss_1(y, y_p)), end='   ')\n",
    "        loss_list.append(loss_1(y, y_p))\n",
    "    \n",
    "    axs[t_i,0].scatter(x, y)\n",
    "    axs[t_i,0].scatter(x, [fun(x_i, w, b) for x_i in x])\n",
    "    axs[t_i,0].set_title('Data & Predict   LearningRate:{:.3f}'.format(learning_rate))\n",
    "    \n",
    "    axs[t_i,1].plot(loss_list)\n",
    "    axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,1].set_title('Loss: {:.3f}'.format(loss_list[-1]))\n",
    "    \n",
    "    axs[t_i,2].plot(k_list)\n",
    "#     axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,2].set_title('k : {:.3f}'.format(k_list[-1]))\n",
    "    \n",
    "    axs[t_i,3].plot(b_list)\n",
    "#     axs[t_i,1].set_ylim(0, loss_list[-1]*10)  # 设置坐标范围\n",
    "    axs[t_i,3].set_title('b: {:.3f}'.format(b_list[-1]))\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
